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Finding the Fourth Proportional to 2,628, 3,942 and 804

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Solution

The fourth proportional to 2,628, 3,942 and 804 is: 1,206

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628 : 3,942 = 804 : x
  2. Step 2: Convert to fraction form
    2,628/3,942 = 804/x
  3. Step 3: Cross multiply
    2,628x = 3,942 × 804
  4. Step 4: Simplify right side
    2,628x = 3,169,368
  5. Step 5: Solve for x
    x = 3,169,368/2,628
  6. Step 6: Final answer
    x = 1,206

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.